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3 years ago

Please help solve |-6y+3|=4|y-2|

Mathematics

1 answer:

nekit [7.7K]3 years ago

8 0

Answer:

−

Move

to the left side of the equation by adding it to both sides.

Use the quadratic formula to find the solutions.

−

√

−

(

)

Substitute the values

, and

into the quadratic formula and solve for

−

√

−

⋅

(

⋅

)

⋅

Simplify.

Tap for more steps...

−

√

Step-by-step explanation:

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An airplane flew 6,772 miles one day. The next day it flew

Sonja [21]

Answer:

5520 miles

Step-by-step explanation:

6,772 miles - 1,252 miles = 5520 miles

3 0

3 years ago

A piece of string is 112 inches long. Isabel wants to cut it into 2 pieces so that one piece is three times as long as the other

lukranit [14]

Answer:28inches & 84inches

First, lets write an equation that fits the data given. The string is 112 inches long. When the two pieces are cut, the first piece will be three times as long as the second piece. If we use the variable, x, to represent the second piece, we can create the following equation...

112=3x+x

Now lets solve for x.

112=4x
divide both sides by 4
28 inches=x

Now we know that the second piece is 28inches long. Since the first piece is three times as long, simply multiply 28*3 and we'll know the length of the first piece.

28*3=84 inches
28+84=112

4 0

3 years ago

Find the length of the segment with endpoint Y(4, 3) and midpoint M(1, 7).

inessss [21]

Answer:the length is 10

Step-by-step explanation:

since m is the midpoint it is 3 away from y on the x axis and 4 away on the y axis

so if you go the same distance away from the midpoint you get -2, 11

so -2 is 6 away from 4 away and 3 is 8 away from 11

6^2 = 36

8^2 = 64

36+64= 100

the square root of 100 is 10

5 0

4 years ago

Write the equation of the line parallel to the line y= 5x + 3 that passes through the point (3,3)

Vilka [71]

Answer:

y=5x-12

Step-by-step explanation:

y=5x+3, and just replace the x and y to get the b. The slope is the same.

1) 3=5(3)+b

2)3=15+b

3)-12=b

4) y=5x-12

6 0

3 years ago

Read 2 more answers

The dockland building in hamburg, germany is built in the shape of a parallelogram. What is the length of the flight of stairs t

Tamiku [17]

Answer:

The length of the flight of stairs is 52 m

Step-by-step explanation:

<em>In parallelograms, opposite sides are equal in length</em>

In the given figure

∵ The building is built in the shape of a parallelogram

∵ The length of the flight of stairs is one side of it

→ We can find it by finding the hypotenuse of the right triangle

whose legs are 47 m and 22 m

∴ The length of it = the length of the hypotenuse of the right Δ

→ By using the Pythagoras Theorem

∵ h = $\sqrt{(leg1)^{2}+(leg2)^{2}}$

∵ leg1 = 47 and leg2 = 22

∴ h = $\sqrt{(47)^{2}+(22)^{2}}$

∴ h = $\sqrt{2209+484}$

∴ h = $\sqrt{2693}$

∴ h = 51.89412298

∵ h represents the length of the flight of stairs

∴ The length of the flight of stairs = 51.89412298 m

→ Round it to the nearest meter

∴ The length of the flight of stairs = 52 m

4 0

3 years ago